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Finding the Fourth Proportional to 315.89, 474.12 and 142.64

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Solution

The fourth proportional to 315.89, 474.12 and 142.64 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.89 : 474.12 = 142.64 : x
  2. Step 2: Convert to fraction form
    315.89/474.12 = 142.64/x
  3. Step 3: Cross multiply
    315.89x = 474.12 × 142.64
  4. Step 4: Simplify right side
    315.89x = 67,626.11
  5. Step 5: Solve for x
    x = 67,626.11/315.89
  6. Step 6: Final answer
    x = 214.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.